Approximate Calculation of Multiple Integrals

Approximate Calculation of Multiple Integrals
Title Approximate Calculation of Multiple Integrals PDF eBook
Author A. H. Stroud
Publisher Prentice Hall
Pages 454
Release 1971
Genre Education
ISBN

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Step-by-Step writing process instruction and the detailed concept modeling of Prentice Hall Writing and Grammar helps students improve their writing skills.

Approximate Calculation of Integrals

Approximate Calculation of Integrals
Title Approximate Calculation of Integrals PDF eBook
Author V. I. Krylov
Publisher Courier Corporation
Pages 372
Release 2012-01-27
Genre Mathematics
ISBN 048615467X

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An introduction to the principal ideas and results of the contemporary theory of approximate integration, this volume approaches its subject from the viewpoint of functional analysis. The 3-part treatment begins with concepts and theorems encountered in the theory of quadrature and then explores the problem of calculation of definite integrals and methods for the calculation of indefinite integral. 1962 edition.

Statistical Multiple Integration

Statistical Multiple Integration
Title Statistical Multiple Integration PDF eBook
Author Nancy Flournoy
Publisher American Mathematical Soc.
Pages 290
Release 1991
Genre Mathematics
ISBN 0821851225

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High dimensional integration arises naturally in two major sub-fields of statistics: multivariate and Bayesian statistics. Indeed, the most common measures of central tendency, variation, and loss are defined by integrals over the sample space, the parameter space, or both. Recent advances in computational power have stimulated significant new advances in both Bayesian and classical multivariate statistics. In many statistical problems, however, multiple integration can be the major obstacle to solutions. This volume contains the proceedings of an AMS-IMS-SIAM Joint Summer Research Conference on Statistical Multiple Integration, held in June 1989 at Humboldt State University in Arcata, California. The conference represents an attempt to bring together mathematicians, statisticians, and computational scientists to focus on the many important problems in statistical multiple integration. The papers document the state of the art in this area with respect to problems in statistics, potential advances blocked by problems with multiple integration, and current work directed at expanding the capability to integrate over high dimensional surfaces.

Potential Theory, and Its Applications to Basic Problems of Mathematical Physics

Potential Theory, and Its Applications to Basic Problems of Mathematical Physics
Title Potential Theory, and Its Applications to Basic Problems of Mathematical Physics PDF eBook
Author Nikolaĭ Maksimovich Gi︠u︡nter
Publisher Burns & Oates
Pages 360
Release 1968
Genre Mathematics
ISBN

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Computation of Multivariate Normal and t Probabilities

Computation of Multivariate Normal and t Probabilities
Title Computation of Multivariate Normal and t Probabilities PDF eBook
Author Alan Genz
Publisher Springer Science & Business Media
Pages 130
Release 2009-07-09
Genre Computers
ISBN 3642016898

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Multivariate normal and t probabilities are needed for statistical inference in many applications. Modern statistical computation packages provide functions for the computation of these probabilities for problems with one or two variables. This book describes recently developed methods for accurate and efficient computation of the required probability values for problems with two or more variables. The book discusses methods for specialized problems as well as methods for general problems. The book includes examples that illustrate the probability computations for a variety of applications.

Lattice Methods for Multiple Integration

Lattice Methods for Multiple Integration
Title Lattice Methods for Multiple Integration PDF eBook
Author I. H. Sloan
Publisher Oxford University Press
Pages 256
Release 1994
Genre Mathematics
ISBN 9780198534723

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This is the first book devoted to lattice methods, a recently developed way of calculating multiple integrals in many variables. Multiple integrals of this kind arise in fields such as quantum physics and chemistry, statistical mechanics, Bayesian statistics and many others. Lattice methods are an effective tool when the number of integrals are large. The book begins with a review of existing methods before presenting lattice theory in a thorough, self-contained manner, with numerous illustrations and examples. Group and number theory are included, but the treatment is such that no prior knowledge is needed. Not only the theory but the practical implementation of lattice methods is covered. An algorithm is presented alongside tables not available elsewhere, which together allow the practical evaluation of multiple integrals in many variables. Most importantly, the algorithm produces an error estimate in a very efficient manner. The book also provides a fast track for readers wanting to move rapidly to using lattice methods in practical calculations. It concludes with extensive numerical tests which compare lattice methods with other methods, such as the Monte Carlo.

Approximation Theory VIII

Approximation Theory VIII
Title Approximation Theory VIII PDF eBook
Author Charles K. Chui
Publisher World Scientific
Pages 606
Release 1995
Genre Mathematics
ISBN 9814532592

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This is the collection of the refereed and edited papers presented at the 8th Texas International Conference on Approximation Theory. It is interdisciplinary in nature and consists of two volumes. The central theme of Vol. I is the core of approximation theory. It includes such important areas as qualitative approximations, interpolation theory, rational approximations, radial-basis functions, and splines. The second volume focuses on topics related to wavelet analysis, including multiresolution and multi-level approximation, subdivision schemes in CAGD, and applications.